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1343348256 = 25323958549
BaseRepresentation
bin101000000010001…
…1101111000100000
310110121202011101010
41100010131320200
510222344121011
6341144340520
745201162135
oct12004357040
93417664333
101343348256
1162a315478
12315a74740
13185404833
14ca5a658c
157ce041a6
hex5011de20

1343348256 has 48 divisors (see below), whose sum is σ = 3541104000. Its totient is φ = 445901568.

The previous prime is 1343348249. The next prime is 1343348257. The reversal of 1343348256 is 6528433431.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1343348257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6331 + ... + 52218.

It is an arithmetic number, because the mean of its divisors is an integer number (73773000).

Almost surely, 21343348256 is an apocalyptic number.

1343348256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343348256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770552000).

1343348256 is an abundant number, since it is smaller than the sum of its proper divisors (2197755744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1343348256 is a wasteful number, since it uses less digits than its factorization.

1343348256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58801 (or 58793 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 1343348256 is about 36651.7155942256. The cubic root of 1343348256 is about 1103.3912575555.

The spelling of 1343348256 in words is "one billion, three hundred forty-three million, three hundred forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2868 3824 5736 7648 11472 22944 58549 117098 175647 234196 351294 468392 702588 936784 1405176 1873568 2810352 5620704 13993211 27986422 41979633 55972844 83959266 111945688 167918532 223891376 335837064 447782752 671674128 1343348256